Question: Consider the sequence an = n + 3n + 4. Find a recursion relation for an in terms of an-1, by first finding a closed

Consider the sequence an = n + 3n + 4. Find a recursion relation for an in terms of an-1, by first finding a closed formula for the sequence of differences and then algebraically solving it for an expression of the recursion relation. Show your work. Repeat the previous question, but this time for the general case of sn = an + bn + c. By doing this you will have proven that every quadratic sequence has an arithmetic sequence of differences. Show your work

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